Fibonacci collocation method for solving a class of nonlinear pantograph differential equations

[ N/A ]

Tarih

2022

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Wiley

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this study, a collocation method based on Fibonacci polynomials is used for approximately solving a class of nonlinear pantograph differential equations with initial and boundary conditions. The problem is first reduced into a nonlinear algebraic system via collocation points, later the unknown coefficients of the approximate solution function are calculated. Also, some problems are presented to test the performance of the proposed method by using the absolute error functions. Additionally, the obtained numerical results are compared with exact solutions of the test problems and approximate ones obtained with other methods in literature.

Açıklama

Anahtar Kelimeler

delay equations, Fibonacci collocation method, nonlinear differential equations, Pantograph equations

Kaynak

Mathematical Methods in The Applied Sciences

WoS Q Değeri

Q1

Scopus Q Değeri

Q1

Cilt

45

Sayı

17

Künye